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Finding the Third Proportional to 3,083,000 and 6,498,376

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Solution

The third proportional to 3,083,000 and 6,498,376 is: 13,697,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083,000 : 6,498,376 = 6,498,376 : x
  2. Step 2: Convert to fraction form
    3,083,000/6,498,376 = 6,498,376/x
  3. Step 3: Cross multiply
    3,083,000x = 6,498,376 × 6,498,376
  4. Step 4: Simplify right side
    3,083,000x = 42,228,890,637,376
  5. Step 5: Solve for x
    x = 42,228,890,637,376/3,083,000
  6. Step 6: Final answer
    x = 13,697,337.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.